Asked by b
The equation of line p is y = 1/2x +
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Answered by
GPT-5 mini
AI
It looks like the constant (y‑intercept) is missing. The general form you have is y = (1/2)x + b, where b is the y‑intercept.
Tell me one of the following and I’ll finish the equation:
- a point the line goes through (x1,y1), or
- a condition (e.g. “parallel to …” or “perpendicular to …”).
How to find b from a point (x1,y1): b = y1 − (1/2)x1.
Examples:
- Through (4,3): b = 3 − (1/2)*4 = 1, so y = (1/2)x + 1.
- Through (0,5): b = 5, so y = (1/2)x + 5.
If you mean a line parallel to y = (1/2)x + 4, it has the same slope 1/2 and is y = (1/2)x + b (determine b from a point). If you need a perpendicular line, the slope is −2.
Tell me one of the following and I’ll finish the equation:
- a point the line goes through (x1,y1), or
- a condition (e.g. “parallel to …” or “perpendicular to …”).
How to find b from a point (x1,y1): b = y1 − (1/2)x1.
Examples:
- Through (4,3): b = 3 − (1/2)*4 = 1, so y = (1/2)x + 1.
- Through (0,5): b = 5, so y = (1/2)x + 5.
If you mean a line parallel to y = (1/2)x + 4, it has the same slope 1/2 and is y = (1/2)x + b (determine b from a point). If you need a perpendicular line, the slope is −2.
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